2020-2021 Undergraduate Academic Catalog

CMATH 3000 Number Theory

This course paves the way to proof-based" mathematics courses (e.g. Abstract Algebra) and provides a comprehensive introduction to number theory. Major topics include the logic of direct and indirect proofs divisibility primality and factoring congruence and modular arithmetic. While mainly focusing on abstract topics we will also investigate the mathematics behind divisibility tests and public key cryptography. Class time and homework will engage students in mathematical inquiry: investigating generalizing conjecturing proof and counterexample.




Every third semester